{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# ML_in_Finance-Kalman_Filters\n",
    "# Version: 1.0 (28.4.2020)\n",
    "# License: MIT\n",
    "# Email: paul@thalesians.co.uk and matthew.dixon@iit.edu\n",
    "# Notes: tested on Mac OS X running Python 3.6.9 with the following packages:\n",
    "# scipy=1.4.1, numpy=1.18.1, matplotlib=3.1.3, pandas=1.0.3\n",
    "# Citation: Please cite the following reference if this notebook is used for research purposes:\n",
    "# Dixon M.F., Halperin I. and P. Bilokon, Machine Learning in Finance: From Theory to Practice, Springer Graduate Textbook Series, 2020."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy.stats\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import pymc3 as pm\n",
    "import theano.tensor as tt\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Overview\n",
    "The purpose of this notebook is to demonstrate the application of particle filtering to stochastic volatility modeling. The insight gained from Chapter 2, namely a **sequential** or **iterative** application of Bayes's theorem, referred to as \"sequential Bayesian updates\", is the foundation of real-time **Bayesian filtering**. Kalman filtering is well known example of Bayesian filtering and we begin by reviewing it here."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Kalman filtering"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Question: the autoregressive moving average $\\text{ARMA}(p, q)$ model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The **autoregressive moving average $\\text{ARMA}(p, q)$** model can be written as\n",
    "$$y_t = \\phi_1 y_{t-1} + \\ldots + \\phi_p y_{t-p} + \\eta_t + \\theta_1 \\eta_{t-1} + \\ldots + \\theta_q \\eta_{t-q},$$\n",
    "where $\\eta_t \\sim \\mathcal{N}(0, \\sigma^2)$, and includes as special casses all $\\text{AR}(p)$ and $\\text{MA}(q)$ models. Such models are often fitted to financial time series. Suppose that we would like to filter this time series using a Kalman filter. Write down suitable process and observation models."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set $m := \\max(p, q + 1)$, $\\phi_i := 0$ for $i > p$, $\\theta_i := 0$ for $i > q$. Then we obtain our process model as\n",
    "$$\\mathbf{X}_t = \\mathbf{F}_t \\mathbf{X}_{t-1} + \\mathbf{a}_t + \\mathbf{W}_t \\mathbf{w}_t,$$\n",
    "and the observation model as\n",
    "$$\\mathbf{Y}_t = \\mathbf{H}_t \\mathbf{X}_t + \\mathbf{b}_t + \\mathbf{V}_t \\mathbf{v}_t,$$\n",
    "where\n",
    "\\begin{equation*}\n",
    "\\mathbf{X}_t =\n",
    "\\begin{pmatrix}\n",
    "y_t \\\\\n",
    "\\phi_2 y_{t-1} + \\ldots + \\phi_p y_{t-m+1} + \\theta_1 \\eta_t + \\ldots + \\theta_{m-1} \\eta_{t-m+2} \\\\\n",
    "\\phi_3 y_{t-1} + \\ldots + \\phi_p y_{t-m+2} + \\theta_2 \\eta_t + \\ldots + \\theta_{m-1} \\eta_{t-m+3} \\\\\n",
    "\\vdots \\\\\n",
    "\\phi_m y_{t-1} + \\theta_{m-1} \\eta_t\n",
    "\\end{pmatrix}\n",
    "\\in \\mathbb{R}^{m \\times 1},\n",
    "\\end{equation*}\n",
    "\\begin{equation*}\n",
    "\\mathbf{F} =\n",
    "\\begin{pmatrix}\n",
    "\\phi_1     & 1      & 0      & \\cdots & 0      \\\\\n",
    "\\phi_2     & 0      & 1      &        & 0      \\\\\n",
    "\\vdots     & \\vdots & \\ddots & \\ddots & \\vdots \\\\\n",
    "\\phi_{m-1} & 0      & 0      &        & 1      \\\\\n",
    "\\phi_m     & 0      & 0      & \\cdots & 0\n",
    "\\end{pmatrix}\n",
    "\\in \\mathbb{R}^{m \\times m},\n",
    "\\end{equation*}\n",
    "\\begin{equation*}\n",
    "\\mathbf{W} =\n",
    "\\begin{pmatrix}\n",
    "1            &\n",
    "\\theta_1     &\n",
    "\\cdots       &\n",
    "\\theta_{m-1}\n",
    "\\end{pmatrix}^{\\intercal}\n",
    "\\in \\mathbb{R}^{m \\times 1},\n",
    "\\end{equation*}\n",
    "\\begin{equation*}\n",
    "w_t = \\eta_t, \\quad Q_t = \\sigma^2, \\quad\n",
    "\\mathbf{H} =\n",
    "\\begin{pmatrix}\n",
    "1 & 0 & \\ldots & 0\n",
    "\\end{pmatrix}\n",
    "\\in 1 \\times m, \\quad b_t = 0, \\quad V_t = 0.\n",
    "\\end{equation*}\n",
    "\n",
    "If $y_t$ is stationary, then $\\mathbf{X}_t \\sim \\mathcal{N}(\\mathbf{0}, \\mathbf{P})$ with $\\mathbf{P}$ given by the equation $\\mathbf{P} = \\mathbf{F} \\mathbf{P} \\mathbf{F}^{\\intercal} + \\sigma^2 \\mathbf{W} \\mathbf{W}^{\\intercal}$, so we can set the initial state and error covariance to $\\mathbf{0}$ and $\\mathbf{P}$, respectively. For a detailed discussion of applying the Kalman filter in this particular case, see **[dJP00]**, **[ZW06]**. There are other ways to express $\\text{ARMA}(p, q)$ as a state-space model and filter it. See **[BD87]**, **[BJR94]**, **[Ham94]**, **[Har89]**, and **[Pea80]** for details."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Question: the Ornstein-Uhlenbeck process"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Consider the one-dimensional Ornstein-Uhlenbeck (OU) process, the stationary Gauss-Markov process given by the SDE\n",
    "$$dX_t = \\theta(\\mu - X_t) \\, dt + \\sigma \\, dW_t,$$\n",
    "where $X_t \\in \\mathbb{R}$, $X_0 = x_0$, and $\\theta > 0$, $\\mu$, and $\\sigma > 0$ are constants. Formulate the Kalman process model for this process."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The solution to the SDE is given by\n",
    "$$X_t = x_0 e^{-\\theta t} + \\mu (1 - e^{-\\theta t}) + \\int_0^t \\sigma e^{-\\theta (t - u)} \\, dW_u.$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "An Ito integral, $\\int_s^t f(u) \\, dW_u$, of a deterministic integrand, $f(u)$, is a Gaussian random variable with mean 0 and variance $\\int_0^t f^2(u) \\, du$. In our case, $f(u) = \\sigma e^{-\\theta (t - u)}$, and $\\int_0^t f^2(u) \\, du = \\frac{\\sigma^2}{2\\theta} (1 - e^{-2\\theta t})$.\n",
    "\n",
    "Since this Markov process is homogeneous, its transition density depends only upon the time difference. Setting, for $s \\leq t$, $h_k := t - s$ as the time interval between the time ticks $k - 1$ and $k$, we obtain a discretised process model\n",
    "$$X_k = F_k X_{k-1} + a_k + w_k,$$\n",
    "with $F_k = e^{-\\theta h_k}$, $a_k = \\mu(1 - e^{-\\theta h_k})$, $w_k \\sim \\left(0, \\frac{\\sigma^2}{2 \\theta}(1 - e^{-2\\theta h_k})\\right)$.\n",
    "\n",
    "As a further exercise, consider extending this to a multivariate OU process."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Particle filtering"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Kalman filter maintains its state as moments of the multivatiate normal (Gaussian) distribution, $\\mathcal{N}(\\mathbf{m}, \\mathbf{P})$. This works when the state is truly Gaussian, or when the true distribution can be closely approximated by the Gaussian. What if the distribution is, for example, bimodal?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xs = np.linspace(-8., 12., 100)\n",
    "plt.plot(xs, \\\n",
    "    .2 * scipy.stats.norm.pdf(xs, loc=-3., scale=np.sqrt(2.)) + \\\n",
    "    .8 * scipy.stats.norm.pdf(xs, loc=3., scale=np.sqrt(5.)));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Arguably the simplest way to approximate more or less any distribution, including bimodal, is by data points sampled from that distribution. We call those data points **particles**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "particles = []\n",
    "for i in range(5000):\n",
    "    if scipy.stats.uniform.rvs() <= .2:\n",
    "        particles.append(scipy.stats.norm.rvs(loc=-3., scale=np.sqrt(2.)))\n",
    "    else:\n",
    "        particles.append(scipy.stats.norm.rvs(loc=3., scale=np.sqrt(5.)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xs = np.linspace(-8., 12., 100)\n",
    "plt.plot(xs, \\\n",
    "    .2 * scipy.stats.norm.pdf(xs, loc=-3., scale=np.sqrt(2.)) + \\\n",
    "    .8 * scipy.stats.norm.pdf(xs, loc=3., scale=np.sqrt(5.)))\n",
    "plt.hist(particles, density=True, bins=100);\n",
    "plt.plot(particles, [0 for p in particles], '+', markersize=10);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The more particles we have, the more closely can we approximate the target distribution. The approximate, empirical distribution is then given by the histogram. The particles don't have to be univariate, as in our example. They may be multivariate if we are approximating a multivariate distribution. Also, in our example the particles all have the same weight. More generally, we may consider weighted particles, whose weights are not all the same."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This gives rise to the family of algorithms known as **particle filtering** algorithms **[GSS93]**, **[Kit93]**. One of the most common of them is the **sequential importance resampling (SIR)** algorithm:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Sequential importance resampling (SIR)\n",
    "\n",
    "1. **Initialisation step**: At time $t = 0$, draw $M$ i.i.d. samples (called **particles**) from the initial distribution $\\tau_0$. Also, initialise $M$ normalised (to 1) weights to an identical value $\\frac{1}{M}$. For $i = 1, 2, \\ldots, M$, the samples will be denoted $\\hat{\\textbf{x}}_{0 \\,|\\, 0}^{(i)}$ and the normalised weights $\\lambda_0^{(i)}$.\n",
    "1. **Recursive step**: At time $t = 1, 2, 3, \\ldots$, let $(\\hat{\\textbf{x}}_{t-1 \\,|\\, t-1}^{(i)})_{i=1,\\ldots,M}$ be the particles generated at time $t - 1$.\n",
    " 1. **Importance sampling**: For $i = 1, \\ldots M$, sample $\\hat{\\mathbf{x}}_{t \\,|\\, t-1}^{(i)}$ from the Markov transition kernel $\\tau_t(\\cdot \\,|\\, \\hat{\\textbf{x}}_{t-1 \\,|\\, t-1}^{(i)})$. For $i = 1, \\ldots, M$, use the observation density to compute the non-normalised weights\n",
    " $$\\omega_t^{(i)} := \\lambda_{t-1}^{(i)} \\cdot p(\\mathbf{y}_t \\,|\\, \\hat{\\mathbf{x}}_{t \\,|\\, t-1}^{(i)})$$\n",
    " and the values of the normalised weights before resampling (\"br\")\n",
    " $$^{\\text{br}}\\lambda_t^{(i)} := \\frac{\\omega_t^{(i)}}{\\sum_{k=1}^M \\omega_t^{(k)}}.$$\n",
    " 1. **Resampling** (or **selection**): For $i = 1, \\ldots, M$, use an appropriate resampling algorithm (such as **multinomial resampling** &mdash; see below) to sample $\\mathbf{x}_{t \\,|\\, t}^{(i)}$ from the mixture\n",
    " $$\\sum_{k=1}^M {^{\\text{br}}} \\lambda_t^{(k)} \\delta(\\mathbf{x}_t - \\mathbf{x}_{t \\,|\\, t-1}^{(k)}),$$\n",
    " where $\\delta(\\cdot)$ denotes the Dirac delta generalised function, and set the normalised weights after resampling, $\\lambda_t^{(i)}$, appropriately (for most common resampling algorithms this means $\\lambda_t^{(i)} := \\frac{1}{M}$). $\\blacksquare$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In some sense, SIR resembles genetic algorithms. Based on the likelihoods $p(\\mathbf{y}_t \\,|\\, \\hat{\\mathbf{x}}_{t \\,|\\, t-1}^{(i)})$, we increase the weights of the more \"successful\" particles, allowing them to \"thrive\" at the resampling step."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The resampling step was introduced to avoid the degeneration of the particles, with all the weight concentrating on a single point."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The most common resampling scheme is the so-called **multinomial resampling**:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Multinomial resampling\n",
    "\n",
    "Notice that we are working with the *normalised* weights computed before reampling, ${^{\\text{br}}}\\lambda_t^{(1)}, {^{\\text{br}}}\\lambda_t^{(2)}, \\ldots, {^{\\text{br}}}\\lambda_t^{(M)}$.\n",
    "\n",
    "1. For $i = 1, 2, \\ldots, M$, compute the cumulative sums\n",
    "$${^{\\text{br}}}\\Lambda_t^{(i)} = \\sum_{k=1}^i {^{\\text{br}}}\\lambda_t^{(k)},$$\n",
    "so that, by construction, ${^{\\text{br}}}\\Lambda_t^{(M)} = 1$.\n",
    "1. Generate $M$ random samples from $\\mathcal{U}(0, 1)$, $u_1, u_2, \\ldots, u_M$.\n",
    "1. For each $i = 1, \\ldots, M$, choose the particle $\\hat{\\mathbf{x}}_{t \\,|\\, t}^{(i)} = \\hat{\\mathbf{x}}_{t \\,|\\, t-1}^{(j)}$ with $j \\in \\{1, 2, \\ldots, M - 1\\}$ such that $u_i \\in \\left[{^{\\text{br}}}\\Lambda_t^{(j)}, {^{\\text{br}}}\\Lambda_t^{(j+1)}\\right]$.\n",
    "\n",
    "Thus we end up with $M$ new particles (**children**), $\\mathbf{x}_{t \\,|\\, t}^{(1)}, \\ldots, \\mathbf{x}_{t \\,|\\, t}^{(M)}$ sampled from the existing set $\\mathbf{x}_{t \\,|\\, t-1}^{(1)}, \\ldots, \\mathbf{x}_{t \\,|\\, t-1}^{(M)}$, so that some of the existing particles may disappear, while others may appear multiple times. For each $i = 1, \\ldots, M$ the number of times $\\mathbf{x}_{t \\,|\\, t-1}^{(i)}$ appears in the resampled set of particles is known as the particle's **replication factor**, $N_t^{(i)}$.\n",
    "\n",
    "Set the normalised weights after resampling: $\\lambda_t^{(i)} := \\frac{1}{M}$.\n",
    "\n",
    "We could view this algorithm as the sampling of the replication factors $N_t^{(1)}, \\ldots N_t^{(M)}$ from the multinomial distribution with probabilities ${^{\\text{br}}}\\lambda_t^{(1)}, \\ldots, {^{\\text{br}}}\\lambda_t^{(M)}$, respectively. Hence the name of the method. $\\blacksquare$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## An application: stochastic volatility models"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Stochastic Volatility (SV)** models have been studied extensively in the literature, often as applications of **particle filtering** and **Markov chain Monte Carlo (MCMC)**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In particular, Pitt, Malik, and Doucet apply the particle filter to the **stochastic volatility with leverage and jumps (SVLJ)** **[MP09]**, **[MP11a]**, **[MP11b]**, **[PMD14]**. The model has the general form of Taylor's **[Tay82]** with two modifications. For $t \\in \\mathbb{N}^0$, let $y_t$ denote the log-return on an asset and $x_t$ denote the log-variance of that return. Then\n",
    "\\begin{align}\n",
    "y_t &= \\epsilon_t e^{x_t/2} + J_t \\varpi_t, \\label{eq:svlj-log-return} \\\\\n",
    "x_{t+1} &= \\mu (1 - \\phi) + \\phi x_t + \\sigma_v \\eta_t, \\label{eq:svlj-log-variance}\n",
    "\\end{align}\n",
    "where $\\mu$ is the mean log-variance, $\\phi$ the persistence parameter, $\\sigma_v$ the volatility of log-variance."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The first modification to Taylor's model is the introduction of correlation between $\\epsilon_t$ and $\\eta_t$:\n",
    "\\begin{equation*}\n",
    "\\left(\n",
    " \\begin{array}{c}\n",
    "   \\epsilon_t \\\\\n",
    "   \\eta_t \\\\\n",
    " \\end{array}\n",
    "\\right)\n",
    "\\sim \\mathcal{N}(0, \\Sigma),\n",
    "\\quad\n",
    "\\Sigma =\n",
    "\\left(\n",
    "  \\begin{array}{cc}\n",
    "    1 & \\rho \\\\\n",
    "    \\rho & 1 \\\\\n",
    "  \\end{array}\n",
    "\\right).\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The correlation $\\rho$ is the **leverage** parameter. In general, $\\rho < 0$, due to the stylised fact known as the **leverage effect** **[Bla76]**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The second change is the introduction of jumps. $J_t \\in \\{0, 1\\}$ is a Bernoulli counter with intensity $p$ (thus $p$ is the jump intensity parameter), $\\varpi_t \\sim \\mathcal{N}(0, \\sigma_J^2)$ determines the jump size (thus $\\sigma_J$ is the jump volatility parameter)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We obtain a **stochastic volatility with leverage (SVL)**, but no jumps, if we delete the $J_t \\varpi_t$ term or, equivalently, set $p$ to zero. Taylor's original model is a special case of SVLJ with $p = 0$, $\\rho = 0$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Particle filter for SVLJ"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This, then, leads to the following adaptation of SIR, developed by Doucet, Malik, and Pitt, for this special case with nonadditive, correlated noises. The initial distribution of $x_0$ is taken to be $\\mathcal{N}\\left(0, \\sigma_v^2 / (1 - \\phi^2)\\right)$.\n",
    "1. **Initialisation step**: At time $t = 0$, draw $M$ i.i.d. particles from the initial distribution $\\mathcal{N}(0, \\sigma_v^2 / (1 - \\phi^2))$. Also, initialise $M$ normalised (to 1) weights to an identical value of $\\frac{1}{M}$. For $i = 1, 2, \\ldots, M$, the samples will be denoted $\\hat{x}^{(i)}_{0 \\ | \\  0}$ and the normalised weights $\\lambda^{(i)}_0$.\n",
    "1. **Recursive step**: At time $t \\in \\mathbb{N}^*$, let $(\\hat{x}^{(i)}_{t-1 \\ | \\  t-1})_{i = 1, \\ldots, M}$ be the particles generated at time $t - 1$.\n",
    "    1. **Importance sampling**:\n",
    "        - First,\n",
    "            - For $i = 1, \\ldots, M$, sample $\\hat{\\epsilon}^{(i)}_{t-1}$ from $p(\\epsilon_{t-1} \\ | \\  x_{t-1} = \\hat{x}^{(i)}_{t-1 \\ | \\  t-1}, y_{t-1})$. (If no $y_{t-1}$ is available, as at $t = 1$, sample from $p(\\epsilon_{t-1} \\ | \\  x_{t-1} = \\hat{x}^{(i)}_{t-1 \\ | \\  t-1})$).\n",
    "            - For $i = 1, \\ldots, M$, sample $\\hat{x}^{(i)}_{t \\ | \\  t-1}$ from $p(x_t \\ | \\  x_{t-1} = \\hat{x}^{(i)}_{t-1 \\ | \\  t-1}, y_{t-1}, \\hat{\\epsilon}^{(i)}_{t-1})$.\n",
    "        - For $i = 1, \\ldots, M$, compute the non-normalised weights\n",
    "            \\begin{equation}\n",
    "            \\omega^{(i)}_t := \\lambda^{(i)}_{t-1} \\cdot p_{\\gamma_t}(y_{t} \\ | \\  \\hat{x}^{(i)}_{t \\ | \\  t-1}),\n",
    "            \\end{equation}\n",
    "            using the observation density\n",
    "            \\begin{gather*}\n",
    "            p(y_t \\ | \\  \\hat{x}^{(i)}_{t \\ | \\  t-1}, p, \\sigma_J^2) = (1 - p) \\left[ \\left( 2\\pi e^{\\hat{x}^{(i)}_{t \\ | \\  t-1}} \\right)^{-1/2} \\exp\\left(-y_t^2 / (2 e^{\\hat{x}^{(i)}_{t \\ | \\  t-1}})\\right) \\right] + \\\\\n",
    "            p \\left[ \\left( 2\\pi ( e^{\\hat{x}^{(i)}_{t \\ | \\  t-1}} + \\sigma_J^2 ) \\right)^{-1/2} \\exp\\left(-y_t^2 / (2 e^{\\hat{x}^{(i)}_{t \\ | \\  t-1}} + 2\\sigma_J^2)\\right) \\right],\n",
    "            \\end{gather*}\n",
    "            and the values of the normalised weights before resampling (`br')\n",
    "            \\begin{equation*}\n",
    "            {^\\text{br}\\lambda^{(i)}_t} := \\frac{\\omega^{(i)}_t}{\\sum_{k=1}^M \\omega^{(k)}_t}.\n",
    "            \\end{equation*}\n",
    "    1. **Resampling** (or **selection**): For $i = 1, \\ldots, M$, use an appropriate resampling algorithm (such as multinomial resampling) sample $\\hat{x}^{(i)}_{t \\ | \\  t}$ from the mixture\n",
    "        \\begin{equation*}\n",
    "        \\sum_{k=1}^M {^\\text{br}\\lambda^{(k)}_t} \\delta(x_t - \\hat{x}^{(k)}_{t \\ | \\  t-1}),\n",
    "        \\end{equation*}\n",
    "        where $\\delta(\\cdot)$ denotes the Dirac delta generalised function, and set the normalised weights after resampling, $\\lambda^{(i)}_t$, according to the resampling algorithm."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calibrating stochastic filters: the frequentist approach"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have seen in the example of the stochastic volatility model with leverage and jumps (SVLJ) that the state-space model may be parameterised by a parameter vector, $\\mathbf{\\theta} \\in \\mathbb{R}^{d_{\\theta}}$, $d_{\\theta} \\in \\mathbb{N}^*$. In that particular case,\n",
    "\\begin{equation*}\n",
    "\\mathbf{\\theta} = \\left(\n",
    "           \\begin{array}{c}\n",
    "             \\mu \\\\\n",
    "             \\phi \\\\\n",
    "             \\sigma_{\\eta}^2 \\\\\n",
    "             \\rho \\\\\n",
    "             \\sigma_J^2 \\\\\n",
    "             p \\\\\n",
    "           \\end{array}\n",
    "         \\right).\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We may not know the true value of this parameter. How do we estimate it? In other words, how do we **calibrate** the model, given a time series of either historical or generated observations, $\\mathbf{y}_1, \\mathbf{y}_2, \\ldots, \\mathbf{y}_T$, $T \\in \\mathbb{T} = \\mathbb{N}^*$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The frequentist approach relies on the (joint) probability density function of the observations, which depends on the parameters, $p(\\mathbf{y}_1, \\mathbf{y}_2, \\ldots, \\mathbf{y}_T \\,|\\, \\mathbf{\\theta})$. We can regard this as a function of $\\mathbf{\\theta}$ with $\\mathbf{y}_1, \\mathbf{y}_2, \\ldots, \\mathbf{y}_T$ fixed, $p(\\mathbf{y}_1, \\mathbf{y}_2, \\ldots, \\mathbf{y}_T \\,|\\, \\mathbf{\\theta}) =: \\mathcal{L}(\\mathbf{\\theta})$ &mdash; the **likelihood function**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is sometimes referred to as **marginal** likelihood, since the hidden states, $\\mathbf{x}_1, \\mathbf{x}_2, \\ldots, \\mathbf{x}_T$, are margined out. We seek a **maximum likelihood estimator (MLE)**, $\\hat{\\mathbf{\\theta}}_{ML}$, the value of $\\mathbf{\\theta}$ that maximises the likelihood function."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Each evaluation of the objective function, $\\mathcal{L}(\\mathbf{\\theta})$, constitutes a run the stochastic filter over the observations $\\mathbf{y}_1, \\mathbf{y}_2, \\ldots, \\mathbf{y}_T$. By the chain rule (i), and since we are dealing with a Markov chain (ii),\n",
    "\\begin{equation*}\n",
    "p(\\mathbf{y}_1, \\ldots, \\mathbf{y}_T) \\overset{\\text{(i)}}{=} \\prod_{t=1}^T p(\\mathbf{y}_t \\ | \\  \\mathbf{y}_0, \\ldots, \\mathbf{y}_{t-1}) \\overset{\\text{(ii)}}{=} \\prod_{t=1}^T \\int p(\\mathbf{y}_t \\ | \\  \\mathbf{x}_t) p(\\mathbf{x}_t \\ | \\  \\mathbf{y}_0, \\ldots, \\mathbf{y}_{t-1}) \\, d\\mathbf{x}_t.\n",
    "\\end{equation*}\n",
    "Here we have omitted the dependence of all the probability densities on $\\mathbf{\\theta}$, e.g. we should have really written $p(\\mathbf{y}_1, \\ldots, \\mathbf{y}_T; \\mathbf{\\theta})$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For the particle filter, we can estimate the log-likelihood function from the non-normalised weights:\n",
    "\\begin{equation*}\n",
    "p(\\mathbf{y}_1, \\ldots, \\mathbf{y}_T) = \\prod_{t=1}^T \\int p(\\mathbf{y}_t \\ | \\  \\mathbf{x}_t) p(\\mathbf{x}_t \\ | \\  \\mathbf{y}_0, \\ldots, \\mathbf{y}_{t-1}) \\, d\\mathbf{x}_t \\approx \\prod_{t=1}^T \\left( \\frac{1}{M} \\sum_{k=1}^M \\omega^{(k)}_t \\right),\n",
    "\\end{equation*}\n",
    "whence\n",
    "\\begin{equation}\n",
    "\\ln(\\mathcal{L}(\\mathbf{\\theta})) = \\ln \\left\\{ \\prod_{t=1}^T \\left( \\frac{1}{M} \\sum_{k=1}^M \\omega^{(k)}_t \\right) \\right\\} = \\sum_{t=1}^T \\ln\\left( \\frac{1}{M} \\sum_{k=1}^M \\omega^{(k)}_t \\right).\n",
    "\\label{eq:particle-filter-log-likelihood}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This was first proposed by Kitagawa **[Kit93]**, **[Kit96]** for the purposes of approximating $\\hat{\\mathbf{\\theta}}_{ML}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In most practical applications one needs to resort to numerical methods, perhaps quasi-Newton methods, such as **Broyden-Fletcher-Goldfarb-Shanno (BFGS)** **[GMW82]**, to find $\\hat{\\mathbf{\\theta}}_{ML}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Malik, Pitt, and Doucet **[PMD14]** point out the practical difficulties which result when using the above as an objective function in an optimiser. In the resampling (or selection) step of the particle filter, we are sampling from a discontinuous empirical distribution function. Therefore $\\ln(\\mathcal{L}(\\mathbf{\\theta}))$ will not be continuous as a function of $\\mathbf{\\theta}$. To remedy this, they rely on an alternative, continuous, resampling procedure described in. A quasi-Newton method is then used to find $\\hat{\\mathbf{\\theta}}_{ML}$ for the parameters $\\mathbf{\\theta} = (\\mu, \\phi, \\sigma_v^2, \\rho, p, \\sigma_J^2)^{\\intercal}$ of the SVLJ model."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Kalman filters can also be calibrated using a similar maximum likelihood approach."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calibrating stochastic filters: the Bayesian approach"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us briefly discuss how filtering methods relate to **Markov chain Monte Carlo methods (MCMC)** --- a vast subject in its own right, therefore our discussion will be cursory at best. The technique takes its origin from **[MRRT53]**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Proceeding along the lines of **[KSC98]**, Meyer and Yu **[MY00]**, **[Yu05]** demonstrate how MCMC techniques can be used to estimate the parameters of the SVL model. They calibrate the parameters to the time series of observations of daily mean-adjusted log-returns, $y_1, \\ldots, y_T$. They obtain the joint prior density\n",
    "\\begin{equation*}\n",
    "p(\\mathbf{\\theta}, x_0, \\ldots, x_T) = p(\\mathbf{\\theta}) p(x_0 \\ | \\  \\mathbf{\\theta}) \\prod_{t=1}^T p(x_t \\ | \\  x_{t-1}, \\mathbf{\\theta})\n",
    "\\end{equation*}\n",
    "by successive conditioning. Here $\\mathbf{\\theta} = (\\mu, \\phi, \\sigma_v^2, \\rho)^{\\intercal}$ is, as before, the vector of the model's parameters. They assume prior independence of the parameters and choose the same priors as in **[KSC98]** for $\\mu$, $\\phi$, and $\\sigma_v^2$, and a uniform prior for $\\rho$. The observation model and the conditional independence assumption give the likelihood\n",
    "\\begin{equation*}\n",
    "p(y_1, \\ldots, y_T \\ | \\  \\mathbf{\\theta}, x_0, \\ldots, x_T) = \\prod_{t=1}^T p(y_t \\ | \\  x_t),\n",
    "\\end{equation*}\n",
    "and the joint posterior distribution of the **unobservables** (the parameters $\\mathbf{\\theta}$ and the hidden states $x_0, \\ldots, x_T$; in the Bayesian perspective these are treated identically and estimated in a similar manner) follows from Bayes's theorem; for the SVL model, this posterior satisfies\n",
    "\\begin{equation*}\n",
    "p(\\mathbf{\\theta}, x_0, \\ldots, x_T \\ | \\  y_1, \\ldots, y_T) \\propto p(\\mu) p(\\phi) p(\\sigma_v^2) p(\\rho) \\prod_{t=1}^T p(x_{t+1} \\ | \\  x_t, \\mu, \\phi, \\sigma_v^2) \\prod_{t=1}^T p(y_t \\ | \\  x_{t+1}, x_t, \\mu, \\phi, \\sigma_v^2, \\rho),\n",
    "\\end{equation*}\n",
    "where $p(\\mu)$, $p(\\phi)$, $p(\\sigma_v^2)$, $p(\\rho)$ are the appropriately chosen priors,\n",
    "\\begin{align*}\n",
    "x_{t+1} \\ | \\  x_t, \\mu, \\phi, \\sigma_v^2 &\\sim \\mathcal{N}\\left(\\mu (1 - \\phi) + \\phi x_t, \\sigma_v^2\\right), \\\\\n",
    "y_t \\ | \\  x_{t+1}, x_t, \\mu, \\phi, \\sigma_v^2, \\rho &\\sim \\mathcal{N}\\left(\\frac{\\rho}{\\sigma_v} e^{x_t/2} \\left( x_{t+1} - \\mu (1 - \\phi) - \\phi x_t \\right), e^{x_t} (1 - \\rho^2)\\right).\n",
    "\\end{align*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Meyer and Yu use the software package BUGS (an acronym for Bayesian inference Using Gibbs Sampling) **[SH96], [Lun00]** to represent the resulting Bayesian model as a **directed acyclic graph (DAG)**, where the nodes are either constants (denoted by rectangles), stochastic nodes (variables that are given a distribution, denoted by ellipses), or deterministic nodes (logical functions of other nodes); the arrows either indicate stochastic dependence (solid arrows) or logical functions (hollow arrows). This graph helps visualise the conditional (in)dependence assumptions and is used by BUGS to construct full univariate conditional posterior distributions for all unobservables. It then uses Markov chain Monte Carlo algorithms to sample from these distributions."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The algorithm based on the original work  **[Met53]** is now known as the **Metropolis algorithm**. It has been generalised by Hastings (1930-2016) to obtain the **Metropolis-Hastings algorithm** **[Has70]** 1970} and further by Green to obtain what is known as the **Metropolis-Hastings-Green algorithm** **[Gre95]**. A popular algorithm based on a special case of the Metropolis-Hastings algorithm, known as the **Gibbs sampler**, was developed by the brothers Geman **[Gem84]** and, independently, Tanner and Wong **[TW87]** Sometimes the Gibbs sampler is referred to as **data augmentation** following this paper. It was further popularised by Gelfand and Smith **[GS90]**. Gibbs sampling and related algorithms **[Gil92], [Rit92]** are used by BUGS to sample from the univariate conditional posterior distributions for all unobservables."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As a result we perform Bayesian estimation --- obtain estimates of the **distributions** of the parameters $\\mu$, $\\phi$, $\\sigma_v^2$, $\\rho$ --- rather than frequentist estimation, where a single value of the parameters vector, which maximises the likelihood, $\\hat{\\mathbf{\\theta}}_{ML}$, is produced. Stochastic filtering, sometimes in combination with MCMC, can be used for both frequentist and Bayesian parameter estimation **[Che03]**. Filtering methods that update estimates of the parameters online, while processing observations in real-time, are referred to as **adaptive filtering**. **[Say08]**, **[Rey13]**, **[Cri13]**, **[Nae15]**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "df1 = pd.read_csv('../data/dataset-1.csv')\n",
    "y1 = df1['daily_log_return'].values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "df2 = pd.read_csv('../data/dataset-2.csv')\n",
    "y2 = df2['daily_log_return'].values"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To use Dataset 1:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# log_returns = y1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To use Dataset 2:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "log_returns = y2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Implementation of the stochastic volatility model with leverage in PyMC3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "class StochasticVolatilityProcess(pm.distributions.distribution.Continuous):\n",
    "    def __init__(self, mu=None, phi=None, sigmav=None,\n",
    "                 *args, **kwargs):\n",
    "        super(StochasticVolatilityProcess, self).__init__(*args, **kwargs)\n",
    "        self.alpha = pm.Deterministic('alpha', (1. - phi) * mu)\n",
    "        self.phi = phi\n",
    "        self.sigmav = sigmav\n",
    "        self.init = pm.Normal.dist(mu=mu, sd=sigmav)\n",
    "        self.mean = tt.as_tensor_variable(0.)\n",
    "\n",
    "    def logp(self, x):\n",
    "        alpha = self.alpha\n",
    "        phi = self.phi\n",
    "        sigmav = self.sigmav\n",
    "        init = self.init\n",
    "\n",
    "        x_im1 = x[:-1]\n",
    "        x_i = x[1:]\n",
    "\n",
    "        innov_like = pm.Normal.dist(mu=alpha + phi * x_im1, sd=sigmav).logp(x_i)\n",
    "        return init.logp(x[0]) + tt.sum(innov_like)\n",
    "\n",
    "    def _repr_latex_(self, name=None, dist=None):\n",
    "        if dist is None:\n",
    "            dist = self\n",
    "        mu = dist.mu\n",
    "        sd = dist.sd\n",
    "        name = r'\\text{%s}' % name\n",
    "        return r'${} \\sim \\text{{StochasticVolatilityProcess}}(\\mathit{{mu}}={},~\\mathit{{sd}}={})$'.format(name,\n",
    "                get_variable_name(mu), get_variable_name(sd))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_stochastic_volatility_model(model, log_returns):\n",
    "    mu = pm.Normal(name='mu', mu=0., sd=np.sqrt(25.))\n",
    "    phistar = pm.Beta(name='phistar', alpha=20., beta=1.5)\n",
    "    recsigmav2 = pm.Gamma(name='recsigmav2', alpha=2.5, beta=.25)\n",
    "    beta = pm.math.exp(pm.Deterministic('beta', .5 * mu))\n",
    "    phi = pm.Deterministic('phi', 2. * phistar - 1.)\n",
    "    sigmav = pm.Deterministic('sigmav', pm.math.sqrt(1. / recsigmav2))\n",
    "    x = StochasticVolatilityProcess('x', mu, phi, sigmav, shape=len(log_returns) + 1)\n",
    "    y = pm.Normal(name='y', mu=0., sd=pm.math.sqrt(pm.math.exp(x[1:])), observed=log_returns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_stochastic_volatility_model_with_leverage(model, log_returns):\n",
    "    mu = pm.Normal(name='mu', mu=0., sd=np.sqrt(25.))\n",
    "    phistar = pm.Beta(name='phistar', alpha=20., beta=1.5)\n",
    "    recsigmav2 = pm.Gamma(name='recsigmav2', alpha=2.5, beta=.25)\n",
    "    beta = pm.math.exp(pm.Deterministic('beta', .5 * mu))\n",
    "    phi = pm.Deterministic('phi', 2. * phistar - 1.)\n",
    "    sigmav = pm.Deterministic('sigmav', pm.math.sqrt(1. / recsigmav2))\n",
    "    rho = pm.Uniform(name='rho', lower=-1., upper=1.)\n",
    "    x = StochasticVolatilityProcess('x', mu, phi, sigmav, shape=len(log_returns) + 2)\n",
    "    y = pm.Normal(name='y',\n",
    "                  mu=rho / sigmav * pm.math.exp(.5 * x[1:-1]) * (x[2:] - (1. - phi) * mu - phi * x[1:-1]),\n",
    "                  sd=pm.math.sqrt(pm.math.exp(x[1:-1]) * (1 - rho * rho)),\n",
    "                  observed=log_returns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Playing with the model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's apply the stochastic volatility model, no leverage:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Making model...\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Only 100 samples in chain.\n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sampling...\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sequential sampling (1 chains in 1 job)\n",
      "NUTS: [x, recsigmav2, phistar, mu]\n",
      "Sampling chain 0, 0 divergences: 100%|██████████| 110/110 [00:17<00:00,  6.21it/s]\n",
      "The acceptance probability does not match the target. It is 0.9651077746169717, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "Only one chain was sampled, this makes it impossible to run some convergence checks\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Producing trace plot...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x1152 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "with pm.Model() as model:\n",
    "    print('Making model...')\n",
    "    make_stochastic_volatility_model(model, log_returns)\n",
    "    print('Sampling...')\n",
    "    trace = pm.sample(tune=10, draws=100, chains=1)\n",
    "    print('Producing trace plot...')\n",
    "    pm.traceplot(trace);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's apply the stochastic volatility model with leverage:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Making model...\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sampling...\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sequential sampling (1 chains in 1 job)\n",
      "NUTS: [x, rho, recsigmav2, phistar, mu]\n",
      "Sampling chain 0, 0 divergences: 100%|██████████| 11000/11000 [32:29<00:00,  5.64it/s] \n",
      "Only one chain was sampled, this makes it impossible to run some convergence checks\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Producing trace plot...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x1296 with 18 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "with pm.Model() as model:\n",
    "    print('Making model...')\n",
    "    make_stochastic_volatility_model_with_leverage(model, log_returns)\n",
    "    print('Sampling...')\n",
    "    trace = pm.sample(tune=1000, draws=10000, nuts_kwargs=dict(target_accept=.9), chains=1)\n",
    "    print('Producing trace plot...')\n",
    "    pm.traceplot(trace);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Further reading"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For more information on filtering we refer the reader to **[Hay01]**, **[May79]**, **[Sim06]**, **[BC09]**, **[Sar13]**.\n",
    "\n",
    "For more information on MCMC, the reader may wish to consult **[Gey11]**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bibliography"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**[BC09]** Alan Bain and Dan Crisan. *Fundamentals of Stochastic Filtering (Stochastic Modelling and Applied Probability Book 60).* Springer, 2009.\n",
    "\n",
    "**[BD87]** Peter J. Brockwell and Richard A. Davis. *Time Series: Theory and Methods.* Springer-Verlag, 1987.\n",
    "\n",
    "**[Bil16]** Paul Bilokon. Bayesian methods for solving estimation and forecasting problems in the high-frequency trading environment. MSc thesis, University of Oxford, 2016.\n",
    "\n",
    "**[BJR94]** George E. P. Box, Gwilym M. Jenkins, and Gregory C. Reinsel. *Time Series Analysis.* Prentice-Hall, 1994.\n",
    "\n",
    "**[Bla76]** Fisher Black, 1976. Studies of Stock Price Volatility Changes. *Proceedings of the Business and Economics Section of the American Statistical Association*, 177-181.\n",
    "\n",
    "**[dJP00]** Piet de Jong and Jeremy Penzer. The ARIMA model in state space form. Research Report 40, Department of Statistics, London School of Economics, Houghton Street, London, WC2A 2AE, UK, August 2000. http://www.lse.ac.uk/statistics/documents/researchreport40.pdf.\n",
    "\n",
    "**[DK00]** James Durbin and Siem Jan Koopman. Time series analysis of non-Gaussian observations based on state space models from both classical and Bayesian perspectives (with discussion). *Journal of the Royal Statistical Society, Series B*, 62:3-56, 2000.\n",
    "\n",
    "**[Gey11]** Charles J. Geyer. *Handbook of Markov Chain Monte Carlo*, chapter Introduction to Markov Chain Monte Carlo, pages 3-49. Handbooks of Modern Statistical Methods. CRC Press, 2011.\n",
    "\n",
    "**[GG84]** Stuart Jay Geman and Donald Geman. Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images. *IEEE Transactions on Pattern Analysis and Machine Intelligence*, 6:721-741, 1984.\n",
    "\n",
    "**[GMW82]** Philip E. Gill, Walter Murray and Margaret H. Wright. *Practical Optimization*. Academic Press, 1982.\n",
    "\n",
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